Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 269, 823, 361, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 823, 361, 236 is 1
GCD(269, 823, 361, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 823, 361, 236 is 1
GCD(269, 823, 361, 236) = 1
Given Input numbers are 269, 823, 361, 236
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 269, 823, 361, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 823, 361, 236 is 1.
Therefore, GCD of numbers 269, 823, 361, 236 is 1
Given Input Data is 269, 823, 361, 236
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 823 is 823
Prime Factorization of 361 is 19 x 19
Prime Factorization of 236 is 2 x 2 x 59
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(269, 823) = 221387
GCD(269, 823) = ( 269 x 823 ) / 221387
GCD(269, 823) = 221387 / 221387
GCD(269, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
GCD of 269, 823, 361, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 823, 361, 236?
GCD of 269, 823, 361, 236 is 1
2. Where do I get the detailed procedure to find GCD of 269, 823, 361, 236?
You can find a detailed procedure to find GCD of 269, 823, 361, 236 on our page.
3. How to find GCD of 269, 823, 361, 236 on a calculator?
You can find the GCD of 269, 823, 361, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.